## Understanding (9/7)^-1 Without Exponents

The expression (9/7)^-1 might look intimidating at first, but it's actually quite simple to understand without resorting to exponents.

### The Power of Reciprocals

The key is understanding that a negative exponent essentially flips the fraction. Here's why:

**Any number raised to the power of -1 is equal to its reciprocal.****The reciprocal of a fraction is simply flipping the numerator and denominator.**

Therefore, (9/7)^-1 is the same as:

**Finding the reciprocal of (9/7):**This means flipping the fraction, resulting in (7/9).

So, **(9/7)^-1 is equivalent to 7/9.**

### Simplifying the Expression

You can further simplify the expression by performing the division if needed.

**7/9** is already in its simplest form and can't be reduced further.

### Conclusion

By understanding the concept of reciprocals and negative exponents, we can easily simplify expressions like (9/7)^-1 without needing to rely on exponents. This approach makes the expression much more accessible and understandable.